Atkin-Lehner |
2- 3- 7- 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
92106ch |
Isogeny class |
Conductor |
92106 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
317440 |
Modular degree for the optimal curve |
Δ |
-3930594812928 = -1 · 210 · 37 · 74 · 17 · 43 |
Discriminant |
Eigenvalues |
2- 3- -4 7- -6 -1 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2552,108155] |
[a1,a2,a3,a4,a6] |
Generators |
[-63:157:1] [45:265:1] |
Generators of the group modulo torsion |
j |
-2520453225529/5391762432 |
j-invariant |
L |
12.851931889714 |
L(r)(E,1)/r! |
Ω |
0.69620739384263 |
Real period |
R |
0.11537449188421 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30702m1 |
Quadratic twists by: -3 |